5131114905600 has 960 divisors, whose sum is σ = 19191439080000. Its totient is φ = 1360653189120.

The previous prime is 5131114905593. The next prime is 5131114905619. The reversal of 5131114905600 is 65094111315.

5131114905600 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 1 + 1 + 4 + 90 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5131114905600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28665446311 + ... + 28665446489.

It is an arithmetic number, because the mean of its divisors is an integer number (19991082375).

Almost surely, 2^{5131114905600} is an apocalyptic number.

5131114905600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131114905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9595719540000).

5131114905600 is an abundant number, since it is smaller than the sum of its proper divisors (14060324174400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5131114905600 is an frugal number, since it uses more digits than its factorization.

5131114905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 5131114905600 in words is "five trillion, one hundred thirty-one billion, one hundred fourteen million, nine hundred five thousand, six hundred".